The Letter proposes a modification to a well known multipath fading ch
annel simulation, SURP, that was originally developed to simulate the
long term variations of the channel. The Letter introduces a mechanism
that allows the generation of channels which simulate short term fadi
ng. The proposed mechanism involves simulating the time development of
the angle of arrivals of the individual rays. By using this modificat
ion, the shape of the Doppler spectrum shape is much closer to theoret
ical predictions.